Search a number
-
+
51767112 = 23323191491
BaseRepresentation
bin1100010101111…
…0011101001000
310121102001010110
43011132131020
5101223021422
65045314320
71166004345
oct305363510
9117361113
1051767112
1127248441
12154059a0
13a956837
146c377cc
15482860c
hex315e748

51767112 has 64 divisors (see below), whose sum is σ = 136028160. Its totient is φ = 16385600.

The previous prime is 51767087. The next prime is 51767113. The reversal of 51767112 is 21176715.

51767112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51767112.

It is not an unprimeable number, because it can be changed into a prime (51767113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105187 + ... + 105677.

It is an arithmetic number, because the mean of its divisors is an integer number (2125440).

Almost surely, 251767112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51767112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68014080).

51767112 is an abundant number, since it is smaller than the sum of its proper divisors (84261048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51767112 is a wasteful number, since it uses less digits than its factorization.

51767112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its digits is 2940, while the sum is 30.

The square root of 51767112 is about 7194.9365528822. The cubic root of 51767112 is about 372.6930656906.

The spelling of 51767112 in words is "fifty-one million, seven hundred sixty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 491 552 573 764 982 1146 1473 1528 1964 2292 2946 3928 4393 4584 5892 8786 11293 11784 13179 17572 22586 26358 33879 35144 45172 52716 67758 90344 93781 105432 135516 187562 271032 281343 375124 562686 750248 1125372 2156963 2250744 4313926 6470889 8627852 12941778 17255704 25883556 51767112